Kahn conjectured in 1988 that, for each prime power q, there is an integer n(q) such that no 3-connected GF(q)-representable matroid has more than n(q) inequivalent GF(q)-representations. At the time, this conjecture was known to be true for q=2 and q=3, and Kahn had just proved it for q=4. In this
β¦ LIBER β¦
On the number of representations of matroids over finite fields
β Scribed by A. N. Skorobogatov
- Book ID
- 118771432
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 675 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0925-1022
No coin nor oath required. For personal study only.
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dedicated to professor shaoxue liu on the occasion of his 70th birthday By counting the numbers of isomorphism classes of representations (indecomposable or absolutely indecomposable) of quivers over finite fields with fixed dimension vectors, we obtain a multi-variable formal identity. If the quive